This study proposes a local and decentralised load management procedure to provide frequency control support in power systems, without a complex communication network. In this context, the authors aim is to design and develop a new and innovative control algorithm using iterated mappings. Iterated mappings are obtained by local frequency measurements and are proved to be strong tools in dynamical deterministic systems’ analysis. The proposed algorithm is capable of assigning relevant operational states to power system during power contingencies; control action will then be exerted on that basis, with a simple and easy to implement data processing procedure. Efficiency of the control method is then verified by simulations in MATLAB environment.

References

1. 1)
  - 10. Samarakoon, K., Ekayanake, J., Jenkins, N.: ‘Investigation of domestic load control to provide primary frequency response using smart meters’, IEEE Trans. Smart Grid, 2012, 3, (1), pp. 282–292 (doi: 10.1109/TSG.2011.2173219).
2. 2)
  - 12. Lu, N., Zhang, Z.: ‘Design considerations of a centralized load controller using thermostatically controlled appliances for continuous regulation reserves’, IEEE Trans. Smart Grid, 2013, 4, (2), pp. 914–921 (doi: 10.1109/TSG.2012.2222944).
3. 3)
  - 2. Yuen, C., Oudalov, A., Timbus, A.: ‘The provision of frequency control reserves from multiple microgrids’, IEEE Trans. Ind. Electron., 2011, 58, (1), pp. 173–183 (doi: 10.1109/TIE.2010.2041139).
4. 4)
  - 15. Angeli, D., Kountouriotis, P.: ‘A stochastic approach to dynamic demand refrigerator control’, IEEE Trans. Control Syst. Technol., 2012, 20, (3), pp. 581–592 (doi: 10.1109/TCST.2011.2141994).
5. 5)
  - R. May . Simple mathematical models with very complicated dynamics. Nature , 459 - 467
6. 6)
  - 17. Strogatz, S.H.: ‘Nonlinear dynamics and chaos: with applications to physics, biology, chemistry, and engineering.Advanced book program’ (Perseus Books Publishing, 1994), pp. 348–379.
7. 7)
  - 24. Ihara, S., Schweppe, F.C.: ‘Physically based modeling of cold load pickup’, Trans. Power Appl. Syst., 1981, 100, (9), pp. 4142–4150 (doi: 10.1109/TPAS.1981.316965).
8. 8)
  - 8. Short, J.A., Infield, D.G., Freris, L.L.: ‘Stabilization of grid frequency through dynamic demand control’, IEEE Trans. Power Syst., 2007, 22, (3), pp. 1284–1293 (doi: 10.1109/TPWRS.2007.901489).
9. 9)
  - 1. Dellile, G., Francois, B., Malarange, G.: ‘Dynamic frequency control support: a virtual inertia provided by distributed energy storage to isolated power systems’ (IEEE PES, ISGTEurope, 2010).
10. 10)
  - 22. UCTE Operation Handbook, Appendix 1, 2004.
11. 11)
  - 9. Molina-Garcia, A., Bouffard, F., Kirschen, D.S.: ‘Decentralized demand side contribution to primary frequency control’, IEEE Trans. Power Syst., 2011, 26, (1), pp. 411–419 (doi: 10.1109/TPWRS.2010.2048223).
12. 12)
  - R.E. Mortensen , K.P. Haggerty . A stochastic computer model for heating and cooling loads. IEEE Trans. Power Syst. , 3 , 1213 - 1219
13. 13)
  - 5. Guerrero, J.M., Chandorkar, M., Lee, T., Loh, P.: ‘Advanced control architectures for intelligent microgrids – part 1: decentralized and hierarchical control’, IEEE Trans. Ind. Electron., 2013, 60, (4), pp. 1254–1262 (doi: 10.1109/TIE.2012.2194969).
14. 14)
  - 20. Boccara, N.: ‘Modeling complex systems’ (Springer, 2004), pp. 107–143.
15. 15)
  - 21. Kundur, P.: ‘Power system stability and control’ (Electric Power Research Institute, Power System Engineering Series, McGraw-Hill, 1994), pp. 581–601.
16. 16)
  - 4. Eto, J.H.: ‘Demand response spinning reserve demonstration’ (Ernest Orlando Lawrence Berkeley National Laboratory, May2007).
17. 17)
  - 16. Lu, N., Hammerstorm, D.J.: ‘Design considerations for frequency responsive grid friendlyTM appliances’, Transmission and Distribution Conf. Exhibition, IEEE PES, 21–24 May 2006.
18. 18)
  - 13. Chang-Chien, L.R., An, L.N., Lin, T.W., Lee, W.J.: ‘Incorporating demand response with spinning reserve to realize an adaptive frequency restoration plan for system contingencies’, IEEE Trans. Smart Grid, 2012, 3, (3), pp. 1145–1153 (doi: 10.1109/TSG.2012.2192297).
19. 19)
  - 14. Kremers, E., Durana, J.M., Barambones, O.: ‘Emergent synchronisation properties of a refrigerator demand side management system’, Appl. Energy, 2013, 101, pp. 709–717 (doi: 10.1016/j.apenergy.2012.07.021).
20. 20)
  - C.K. Sao , P.W. Lehn . Control and power management of converter fed microgrids. IEEE Trans. Power Syst. , 3 , 1088 - 1098
21. 21)
  - 17. Ali Pourmousavi, S., Hashem Nehrir, M.: ‘Real-time central demand respond for primary frequency regulation in microgrids’, IEEE Trans. Smart Grid, 2012, 3, (4), pp. 1988–1996 (doi: 10.1109/TSG.2012.2201964).
22. 22)
  - 7. Pandiaraj, K., Taylor, P., Jenkins, N., Robb, C.: ‘Distributed load control of autonomous renewable energy systems’, IEEE Trans. Energy Convers., 2001, 16, (1), pp. 14–19 (doi: 10.1109/60.911397).
23. 23)
  - 6. Shweppe, F.C., Tabors, R.D., Kirtley, J.L., Outhred, H.R., Pickel, F.H., Cox, A.J.: ‘Homeostatic utility control’, IEEE Trans. Power Appl. Syst., 1980, 99, (3), pp. 1151–1163 (doi: 10.1109/TPAS.1980.319745).

Designing a novel demand side regulation algorithm to participate in frequency control using iterated mappings

References

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